Search a number
-
+
13022213121100 = 22522331049953233
BaseRepresentation
bin1011110101111111100001…
…1000110010010001001100
31201002220121102101222221101
42331133320120302101030
53201323443024333400
643410153324512444
72512552403123401
oct275377030622114
951086542358841
1013022213121100
114170764900417
1215639609ab724
13735cb2a09a61
143303c82022a8
15178b0e86256a
hexbd7f863244c

13022213121100 has 72 divisors (see below), whose sum is σ = 28382718546000. Its totient is φ = 5185938094080.

The previous prime is 13022213121097. The next prime is 13022213121121. The reversal of 13022213121100 is 112131222031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244600084 + ... + 244653316.

It is an arithmetic number, because the mean of its divisors is an integer number (394204424250).

Almost surely, 213022213121100 is an apocalyptic number.

13022213121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022213121100 is an abundant number, since it is smaller than the sum of its proper divisors (15360505424900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13022213121100 is a wasteful number, since it uses less digits than its factorization.

13022213121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63979 (or 63972 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13022213121100 its reverse (112131222031), we get a palindrome (13134344343131).

The spelling of 13022213121100 in words is "thirteen trillion, twenty-two billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 932 1165 2330 4660 5825 10499 11650 20998 23300 41996 52495 53233 104990 106466 209980 212932 262475 266165 524950 532330 1049900 1064660 1330825 2446267 2661650 4892534 5323300 9785068 12231335 12403289 24462670 24806578 48925340 49613156 61156675 62016445 122313350 124032890 244626700 248065780 310082225 558893267 620164450 1117786534 1240328900 2235573068 2794466335 5588932670 11177865340 13972331675 27944663350 55889326700 130222131211 260444262422 520888524844 651110656055 1302221312110 2604442624220 3255553280275 6511106560550 13022213121100